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Finding the Fourth Proportional to 484,170.63, 726,296.59 and 147,214.20

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Solution

The fourth proportional to 484,170.63, 726,296.59 and 147,214.20 is: 220,833.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,170.63 : 726,296.59 = 147,214.20 : x
  2. Step 2: Convert to fraction form
    484,170.63/726,296.59 = 147,214.20/x
  3. Step 3: Cross multiply
    484,170.63x = 726,296.59 × 147,214.20
  4. Step 4: Simplify right side
    484,170.63x = 106,921,174,367.21
  5. Step 5: Solve for x
    x = 106,921,174,367.21/484,170.63
  6. Step 6: Final answer
    x = 220,833.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.